1) Are the wave patterns for various values of Δω and Δk same? If not, why? 2) Comment on the Phase velocity (Vp) of the waves for increased values of Δω and Δk. 3) When do we see Vp and Vg being the same.

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1) Are the wave patterns for various values of Δω and Δk same? If not, why?

2) Comment on the Phase velocity (Vp) of the waves for increased values of Δω and Δk.

3) When do we see Vp and Vg being the same.

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